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7. Let the vectors a . b . c be given as a1i + a2j + a3k, b1j + b2j + b3k, c1i + c2j + c3k. Then show that
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Nov
7. Let the vectors a . b . c be given as a1i + a2j + a3k, b1j + b2j + b3k, c1i + c2j + c3k. Then show that 7. Let the vectors a . b . c be given as a1i + a2j + a3k b1j + b2j + b3k c1i + c2j [...]
6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b?
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Nov
6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b? 6. Given that a . b = 0 and a x b = 0. What can you conclude about the vectors a and b? November 5, 2021 Category: Chapter 10 - [...]
5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0
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Nov
5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0 5. Find λ and µ if (2i + 6j + 27k) x ( i + lamba j + uk) = 0 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT [...]
4. Show that (a – b) x (a + b) = 2(a x b)
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Nov
4. Show that (a – b) x (a + b) = 2(a x b) 4. Show that (a - b) x (a + b) = 2(a x b) November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,
3. If a unit vector makes angles with , with π/3 with i, π/4 with j and an acute angle θ with k , then find θ and hence, the components of a.
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Nov
3. If a unit vector makes angles with , with π/3 with i, π/4 with j and an acute angle θ with k , then find θ and hence, the components of a. 3. If a unit vector makes angles with the components of a. then find θ and hence with π/3 with i π/4 [...]
2. Find a unit vector perpendicular to each of the vector a + b and a – b, where a = 3i + 2j + 2k and b = i + 2j – 2k.
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Nov
2. Find a unit vector perpendicular to each of the vector a + b and a – b, where a = 3i + 2j + 2k and b = i + 2j – 2k. 2. Find a unit vector perpendicular to each of the vector a + b and a - b where a = [...]
1. Find I a x b I, if a = i – 7j + 7k and b = 3i – 2j + 2k.
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Nov
1. Find I a x b I, if a = i – 7j + 7k and b = 3i – 2j + 2k. 1. Find I a x b I if a = i - 7j + 7k and b = 3i - 2j + 2k. November 5, 2021 Category: Chapter 10 - Vector Algebra [...]
18. If is a nonzero vector of magnitude ‘a’ and λ a nonzero scalar, then λa is unit vector if
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Nov
18. If is a nonzero vector of magnitude ‘a’ and λ a nonzero scalar, then λa is unit vector if 18. If is a nonzero vector of magnitude ‘a’ and λ a nonzero scalar then λa is unit vector if November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class [...]
17. Show that the vectors 2i – j + k, i – 3j – 5k and 3i – 4j -4k form the vertices of a right angled triangle.
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Nov
17. Show that the vectors 2i – j + k, i – 3j – 5k and 3i – 4j -4k form the vertices of a right angled triangle. 17. Show that the vectors 2i - j + k i - 3j - 5k and 3i - 4j -4k form the vertices of a right angled [...]
16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, –1) are collinear.
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Nov
16. Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10, –1) are collinear. –1) are collinear. 10 16. Show that the points A(1 2 3) and C(3 6 7) B(2 November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,